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Finding the Third Proportional to 122,711,106 and 195,351,825

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Solution

The third proportional to 122,711,106 and 195,351,825 is: 310,993,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711,106 : 195,351,825 = 195,351,825 : x
  2. Step 2: Convert to fraction form
    122,711,106/195,351,825 = 195,351,825/x
  3. Step 3: Cross multiply
    122,711,106x = 195,351,825 × 195,351,825
  4. Step 4: Simplify right side
    122,711,106x = 38,162,335,530,830,624
  5. Step 5: Solve for x
    x = 38,162,335,530,830,624/122,711,106
  6. Step 6: Final answer
    x = 310,993,330.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.